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pl:dydaktyka:dss:projects:equilibrium:start [2018/01/28 13:56] mjedrze [Basics] |
pl:dydaktyka:dss:projects:equilibrium:start [2019/06/27 15:50] (aktualna) |
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| - | ==== Main Page ==== | ||
| ==== Game Theory - Nash Equilibrium ==== | ==== Game Theory - Nash Equilibrium ==== | ||
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| - **game tree** - it is build from players moves, leafs hold payoffs values | - **game tree** - it is build from players moves, leafs hold payoffs values | ||
| - | {{:pl:dydaktyka:dss:projects:equilibrium:gametree.png?nolink&400|}} | + | {{:pl:dydaktyka:dss:projects:equilibrium:gametree.png?nolink&600|}} |
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| An equilibrium refinement provides a way of selecting one or a few equilibriums from among many in a game. Many games may contain several Nash equilibriums, and thus offer no clear prediction about the likely outcome. Each refinement attempts to define some equilibriums as "more likely," "more rational" or "more robust" to deviations by players than others. For example, if one equilibrium Pareto dominates another (results in all players earning more ), then it may be viewed as more likely to be chosen by the players. | An equilibrium refinement provides a way of selecting one or a few equilibriums from among many in a game. Many games may contain several Nash equilibriums, and thus offer no clear prediction about the likely outcome. Each refinement attempts to define some equilibriums as "more likely," "more rational" or "more robust" to deviations by players than others. For example, if one equilibrium Pareto dominates another (results in all players earning more ), then it may be viewed as more likely to be chosen by the players. | ||
| + | <fc #fffff></fc> | ||
| **QUESTION 1:** What is the equilibrium of the below game? | **QUESTION 1:** What is the equilibrium of the below game? | ||
| | | ^ Player 2 || | | | ^ Player 2 || | ||
| - | | | | X | Y | | + | | | | X | Y | |
| - | ^ Player 1 | A | 10 , 10 | 15 , 5 | | + | ^ Player 1 | A <fc #ffffff>spja</fc> | 10 , 10 | 15 , 5 | |
| - | | ::: | B | 5 , 15 | 12 , 12 | | + | | ::: | B <fc #ffffff>scja</fc> | 5 , 15 | 12 , 12 | |
